If one group has a significant change in a paired-samples t-Test, and another group does not in its (separate) paired-samples t-Test, that signifies a significant difference between the groups.

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A significant change in one group and not in another in separate paired-samples t-Tests does not directly signify a significant difference between the groups. To assess differences between groups, an interaction effect or a comparison of the groups' means would need to be analyzed, typically through an analysis of variance (ANOVA) or a similar statistical test designed for comparing groups.

If One Group Has a Significant Change in a Paired-Samples